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Finding the Fourth Proportional to 378.22, 566.85 and 161.58

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Solution

The fourth proportional to 378.22, 566.85 and 161.58 is: 242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.22 : 566.85 = 161.58 : x
  2. Step 2: Convert to fraction form
    378.22/566.85 = 161.58/x
  3. Step 3: Cross multiply
    378.22x = 566.85 × 161.58
  4. Step 4: Simplify right side
    378.22x = 91,591.62
  5. Step 5: Solve for x
    x = 91,591.62/378.22
  6. Step 6: Final answer
    x = 242.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.